What if the load is caused by video playback? If the video decoding is done by a CPU without a hardware decoder, it will load the CPU. Depending on how big the video window is, rendering will load the GPU.
The OP is just trying to play 1080p60 video without high temperatures and fan noise. That should not require a MBP.
You're applying "should" to something that's not governed by our perceptions of how things ought to be.
Fact is, software decoding VP9 videos will create a sustained CPU load. When performed on a low TDP CPU, that will tend to generate more fan noise than it might on a higher TDP CPU. For whatever reasons, likely product/market differentiation, Apple chose to use low TDP CPUs in the MBA, and chose not to tune them for sustained CPU loading.
If we wish to get into the "shoulds" - Google should provide the option to view 4K videos in H.264/265 even if watching them at 1080p. Apple should enable hardware support for VP9 decode.
But neither is reality, and neither are likely to change anytime soon.
So, if someone feels the need to frequently watch software decoded video codecs, they need to buy an MBP that can better handle the sustained CPU load.
Or they can use Safari and get the 1080p video in H.264/265
Choose the proper tool for the job.